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yKpoI14uk [10]
3 years ago
10

Is 5/6 closer to 1, 1/2, or 2 and why?

Mathematics
1 answer:
velikii [3]3 years ago
4 0
1 because 5/6 is almost a whole. It can't be 1/2 because it would have been 3/6. And it's not 2 because it should have been an improper faction
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Anybody know the answer?
marysya [2.9K]
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²

we want to find z so combine the equations by substituting the other variables x,y out.

substitute y² for (x² - 4²) in 1st equation.

(x² - 4²) + 9² = z²

now by rearranging the 2nd equation we can substitute x² for (13² - z²)

(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z

13 goes in the box




































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